Finding the Fourth Proportional to 203.70, 305.70 and 142.95
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Solution
The fourth proportional to 203.70, 305.70 and 142.95 is: 214.53
Step by Step Solution
- Step 1: Write the proportion equation
203.70 : 305.70 = 142.95 : x - Step 2: Convert to fraction form
203.70/305.70 = 142.95/x - Step 3: Cross multiply
203.70x = 305.70 × 142.95 - Step 4: Simplify right side
203.70x = 43,699.82 - Step 5: Solve for x
x = 43,699.82/203.70 - Step 6: Final answer
x = 214.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.